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High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficientsстатья
- Авторы: Khokhlov N.I., Petrov I.B.
- Журнал: Differential Equations
- Том: 59
- Номер: 7
- Год издания: 2023
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 985
- Последняя страница: 997
- DOI: 10.1134/s001226612307011x
- Аннотация: A new approach is considered for increasing the order of accuracy of the gridcharacteristic method in the region of coefficient jumps. The approach is based on piecewise polynomial interpolation for schemes of the second and third orders of accuracy for the case where the interface between the media is consistent with a finite-difference grid. The method is intended for numerical simulation of the propagation of dynamic wave disturbances in heterogeneous media. Systems of hyperbolic equations with variable coefficients are used to describe the considered physical processes. The description of the numerical method and the results of its testing are given.
- Добавил в систему: Ильин Александр Владимирович